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Finding the Fourth Proportional to 7,718, 10,655.96 and 4,779.12

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Solution

The fourth proportional to 7,718, 10,655.96 and 4,779.12 is: 6,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718 : 10,655.96 = 4,779.12 : x
  2. Step 2: Convert to fraction form
    7,718/10,655.96 = 4,779.12/x
  3. Step 3: Cross multiply
    7,718x = 10,655.96 × 4,779.12
  4. Step 4: Simplify right side
    7,718x = 50,926,111.56
  5. Step 5: Solve for x
    x = 50,926,111.56/7,718
  6. Step 6: Final answer
    x = 6,598.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.